Find the LCM of 842, 251, 653, 653, 825 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 842, 251, 653, 653, 825. So, keep reading to learn more.
Given numbers are 842,251,653,653,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,251,653,653,825 is 113855218950.
Find LCM of 842,251,653,653,825 with Prime Factorization
653 | 842, 251, 653, 653, 825 |
842, 251, 1, 1, 825 |
Multiply the prime numbers at the bottom and the left side.
653 x 842 x 251 x 1 x 1 x 825 = 113855218950
Therefore, the lowest common multiple of 842,251,653,653,825 is 113855218950.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
842 x 251 x 653 x 653 x 825 = 74347457974350
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
842 : 1, 2, 421, 842
251 : 1, 251
653 : 1, 653
653 : 1, 653
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,251,653,653,825, is 1.
Now, the common factors can be found like this.
842:2x 421
251:251
653:653
653:653
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
653 = 653
Therefore, the value for common factors is 653.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 74347457974350/(1x653)
LCM = 74347457974350/653
LCM = 113855218950
Thus, we can understand that the LCM of 842,251,653,653,825 is 113855218950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 842, 251, 653, 653, 825?
Answer: LCM of 842, 251, 653, 653, 825 is 113855218950.
2. How to calculate the LCM of 842, 251, 653, 653, 825?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 842, 251, 653, 653, 825.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.